What is (\partial)/(\partial x)((4x+7y)^{10}) ?

The answer to (\partial)/(\partial x)((4x+7y)^{10}) is 40(4x+7y)^9

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(\partial)/(\partial x)((4x+7y)^{10})

\frac{\partial}{\partial x} ((4 x + 7 y)^{10})

40 (4 x + 7 y)^{9}

Solution steps

\frac{\partial}{\partial x} ((4 x + 7 y)^{10})

Treat

y

as a constant

Apply the chain rule:

10 (4 x + 7 y)^{9} \frac{\partial}{\partial x} (4 x + 7 y)

= 10 (4 x + 7 y)^{9} \frac{\partial}{\partial x} (4 x + 7 y)

\frac{\partial}{\partial x} (4 x + 7 y) = 4

= 10 (4 x + 7 y)^{9} \cdot 4

Simplify

= 40 (4 x + 7 y)^{9}

\int x^{2} + x + 2 d x

\int \frac{13 t ^{7} + t ^{5}}{t ^{\frac{3}{2}}} d t

x \to 0 lim (x^{x^{2}})

y^{^{'}} + 0.15 y = 1

(2 x^{2} + y) d x + (x^{2} y - x) d y = 0

What is (\partial)/(\partial x)((4x+7y)^{10}) ?
The answer to (\partial)/(\partial x)((4x+7y)^{10}) is 40(4x+7y)^9